Pandigital Puzzles

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Drag the digits to make two numbers so that …

… is twice as big as …

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Pandigital Activities

These puzzles and challenges use each of the digits 1 to 9, making them examples of what mathematicians sometimes call zeroless pandigital activities. They invite you to arrange the digits carefully, spot patterns and use logical thinking to achieve the given objective.

Suggested

The Miller's Puzzle

The Miller's Puzzle

This is an interactive version of the puzzle described by Henry Ernest Dudeney in The Canterbury Puzzles

The short web address is:

Transum.org/go/?Num=344

Suggested

Stepwise Sums

Stepwise Sums

Arrange the numbers one to nine on the stairs to obtain the given sums.

The short web address is:

Transum.org/go/?Num=392

Suggested

StatGrid Challenge

StatGrid Challenge

Arrange the numbers one to nine in a three by three grid to obtain the given means, medians and ranges.

The short web address is:

Transum.org/go/?Num=1073

Suggested

Delightfully Divisible

Delightfully Divisible

Arrange the digits one to nine to make a number which is divisible in the way described.

The short web address is:

Transum.org/go/?Num=339

Suggested

Nine Nine Nine

Nine Nine Nine

Use the digits 1 to 9 to make three 3 digit numbers which add up to 999.

The short web address is:

Transum.org/go/?Num=18

Suggested

All For One

All For One

Drag the numbers one to nine onto the outlines of three fractions that combine to make one.

The short web address is:

Transum.org/go/?Num=1066

Suggested

Ludicross

Ludicross

Arrange the given numbers on the cross so that the sum of the numbers in both diagonals is the same.

The short web address is:

Transum.org/go/?Num=587

Suggested

Product Square

Product Square

Arrange the given numbers in a three by three grid to obtain the diagonal, row and column products.

The short web address is:

Transum.org/go/?Num=917

Suggested

Centexpression

Centexpression

Arrange the numbers from 1 to 9 to make an expression with a value of 100.

The short web address is:

Transum.org/go/?Num=280

Suggested

Magic Square

Magic Square

Each row, column and diagonal should produce the same sum.

The short web address is:

Transum.org/go/?Num=25

Suggested

Unmagic Square

Unmagic Square

Like the magic square but all of the totals should be different.

The short web address is:

Transum.org/go/?Num=26

Suggested

Suko Sujiko

Suko Sujiko

Interactive number-based logic puzzles similar to those featuring in daily newspapers.

The short web address is:

Transum.org/go/?Num=463

Suggested

Prime Square

Prime Square

Drag the numbers into the red cells so that the sum of the three numbers in each row and each column is a prime number.

The short web address is:

Transum.org/go/?Num=253

Suggested

Satisfy

Satisfy

Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.

The short web address is:

Transum.org/go/?Num=32

Suggested

Nine Digits

Nine Digits

Arrange the given digits to make three numbers such that two of them add up to the third.

The short web address is:

Transum.org/go/?Num=752

Suggested

Divisive

Divisive

Arrange the digits one to nine on the spaces provided to make two division calculations containing multiples of three.

The short web address is:

Transum.org/go/?Num=740

Suggested

Go Figure

Go Figure

Arrange the digits one to nine to make the four calculations correct.

The short web address is:

Transum.org/go/?Num=737

Suggested

Olympic Rings

Olympic Rings

Place the digits one to nine in each of the regions created by the Olympic rings so that the sum of the numbers in each ring is the same.

The short web address is:

Transum.org/go/?Num=734

Suggested

Hot Numbers

Hot Numbers

Move the numbered cards to form five 2-digit numbers which obey the given rules. A ten-stage numeracy challenge.

The short web address is:

Transum.org/go/?Num=5

Suggested

Pandigital Puzzles

Pandigital Puzzles

Arrange the digits 1 to 9 to create two numbers in the given ratio.

The short web address is:

Transum.org/go/?Num=1171

Suggested

Pandigital Numbers

Pandigital Numbers

An exercise exploring the properties of nine-digit numbers containing each of the digits 1 to 9.

The short web address is:

Transum.org/go/?Num=763

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

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Featured Activity

Remainder Race

Remainder Race

A brilliant game involving chance and choice requiring an ability to calculate the remainder when a two digit number is divided by a single digit number. There are one and two player versions and the rules are inspired by the Royal Game of Ur.

Answers

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

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Scan the QR code below to visit the online version of this activity.

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https://www.Transum.org/go/?Num=1171

Description of Levels

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Level 1 - The first number is twice as big as the second

Level 2 - The first number is 3 times as big as the second

Level 3 - The first number is 4 times as big as the second

Level 4 - The first number is 5 times as big as the second

Level 5 - The first number is 6 times as big as the second

Level 6 - The first number is 7 times as big as the second

Level 7 - The first number is 8 times as big as the second

Level 8 - The first number is 9 times as big as the second

More Puzzles including lesson Starters, visual aids, investigations and self-marking exercises.

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